Exercise gradient curved graph

Lesson 18.6
18.6 Finding the gradient of a curve

Cambridge IGCSE Mathematics 0580
Chapter 18. Curve Graphs

​Objectives:
By the end of this lesson, students should be able to estimate the gradient of a curve by drawing a tangent to the curve

Definition

Gradident is The steepness of a line.

Multiple Choice

Which image shows the correct tangent at the point on the curve marked by a dot?

Multiple Choice

Use the graph to complete this working out to find the gradient of the curve at point B:

• -10
• 10

• 0.1

• -0.1

Multiple Choice

Which of these is the gradient at point B on this curve?

• -12.2

• -0.08

• 0.08

Multiple Choice

Which of these is the gradient at point C on this curve?

• –13.75

• 24.2

• 19.6

Multiple Choice

at which points will the curve have a gradient of 0?

• A

• B

• C

• D

Fill in the Blanks

Tangents are drawn for key points on the parabola to calculate the gradient.

What is the gradient of the curve at point B, to the nearest whole number?

Gradient at B = ...

Multiple Choice

At which one of these points will the curve have a gradient of –7?

• A

• B

• D

Multiple Choice

Which of these is the gradient at point A on this curve?

• 0.05

• 13.45

• 21.7